Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 26 min ago
PreprintCC BY 4.0arXiv

A proof of the Fong--Tsui conjecture

Abstract

We prove that a bounded operator T on a complex Hilbert space is self-adjoint whenever |T|≤|re T|, as conjectured by Fong and Tsui \cite{FT}.

Related

  1. A General Proof of the Fong-Tsui Conjecture
    Yicen Ma
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. A proof of the Stanley-Stembridge conjecture
    Tatsuyuki Hikita
    Journal of the American Mathematical SocietyPeer-reviewedLicence not statedFull text51 citedCombinatorics & discrete mathematicsOpenAlex
  3. A streamlined proof of the Kakeya set conjecture in R3
    Larry Guth, Hong Wang, Joshua Zahl
    MathematikaPeer-reviewedLicence not statedFull text12 citedGeneral mathematicsOpenAlex
  4. A proof of Alexander’s Conjecture on an Inequality of Cassels
    Myriam Ounaïes
    Complex Analysis and Operator TheoryPeer-reviewedLicence not statedFull textGeometry & topologyHAL
  5. A Proof of Ebenfelt's weak SOS Conjecture
    Zhiwei Wang, Chenlong Yue, Xiangyu Zhou
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
BibTeX
@misc{aouichaoui2026proof,
  title = {{A proof of the Fong--Tsui conjecture}},
  author = {Mohamed Amine Aouichaoui and Fuad Kittaneh and Yicen Ma},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16236},
  eprint = {2609.16236},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16236},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A proof of the Fong--Tsui conjecture
AU  - Mohamed Amine Aouichaoui
AU  - Fuad Kittaneh
AU  - Yicen Ma
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.16236
UR  - https://arxiv.org/abs/2609.16236
AB  - We prove that a bounded operator T on a complex Hilbert space is self-adjoint whenever |T|≤|re T|, as conjectured by Fong and Tsui \cite{FT}.
ER  -